A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
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1510.05683.pdf
Description
Submitted version
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287.2 KB
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e126db3dfbbb16f453ebda178b17a1d3
Author(s)
Kac, Victor
Wakimoto, Minoru
Date Issued
2017
Journal
Transformation Groups
Publisher
Springer Nature
Version
Original manuscript
Abstract
© 2016, Springer Science+Business Media New York. We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/S00031-016-9403-8
